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Finding the Third Proportional to 5,369.26 and 8,053.88

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Solution

The third proportional to 5,369.26 and 8,053.88 is: 12,080.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.26 : 8,053.88 = 8,053.88 : x
  2. Step 2: Convert to fraction form
    5,369.26/8,053.88 = 8,053.88/x
  3. Step 3: Cross multiply
    5,369.26x = 8,053.88 × 8,053.88
  4. Step 4: Simplify right side
    5,369.26x = 64,865,044.09
  5. Step 5: Solve for x
    x = 64,865,044.09/5,369.26
  6. Step 6: Final answer
    x = 12,080.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.